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	Whitehead - Wikipedia, the free encyclopedia
		Whitehead, British mathematician and nephew of A. Whitehead
		Whitehead, North Carolina, Alleghany County, North Carolina 36.2802N 81.0910W
		USS Whitehead (1861-1865), Civil War, 136-ton screw steam gunboat
	en.wikipedia.org /wiki/Whitehead (164 words)

	J. H. C. Whitehead - Wikipedia, the free encyclopedia
		John Henry Constantine Whitehead (11 November 1904- 8 May 1960), known as Henry, was a British mathematician who was one of the founders of homotopy theory.
		The Whitehead problem on abelian groups was solved (as an independence proof) by Saharon Shelah.
		He was the nephew of Alfred North Whitehead.
	en.wikipedia.org /wiki/J._H._C._Whitehead (238 words)

	Whitehead (Site not responding. Last check: 2007-10-22)
		Whitehead was always treated by his parents as the baby of the family and, rather surprisingly, they considered him a sickly and frail child when it appears that this was not the case.
		Whitehead was not sent to primary school because his parents thought that he was too delicate, so he was taught at home by his father until he was 14.
		Whitehead argued that Russell should be awarded a more prestigious scholarship than his marks would have merited and indeed this was agreed.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Whitehead.html (2354 words)

	Whitehead_Henry (Site not responding. Last check: 2007-10-22)
		At Balliol Whitehead was tutored by J W Nicholson, who had been a student of Whitehead's uncle A N Whitehead.
		Whitehead returned to Oxford after being awarded his doctorate and he was elected to a Fellowship at Balliol College in 1933.
		Whitehead received several honours for outstanding mathematical achievements, but he died at the age of 55 when at the height of his powers, so did not live t receive awards which normally come later in life.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Whitehead_Henry.html (1693 words)

	Offers a resource for whitehead and more related whitehead sites (Site not responding. Last check: 2007-10-22)
		One of the key elements that distinguishes Randall Whitehead from other lighting designers with whom I am familiar is his ability to quickly put himself inside the mind of the client in a way that immediately allows the entire design project to be collaborative rather than dictatorial, for lack of a better word.
		Whitehead's ability to assimilate a great deal of information and then to explain his ideas in language understandable to the homeowner is refreshing and extremely comforting in a major remodel, and he creates an atmosphere of calm in a process that nearly always stormy at best.
		J. Whitehead John Henry Constantine Whitehead (11 November 1904- 8 May 1960), known as Henry, was a British mathematician who was one of the founders of homotopy theory.
	discoveryweb.net /acne/whitehead.html (2252 words)

	Recent publications from researchers in Hal Whitehead's Lab.
		Whitehead, H. Genetic diversity in the matrilineal whales: models of cultural hitchhiking and group-specific non-heritable demographic variation.
		Whitehead, H. Sea surface temperature and the abundance of sperm whale calves off the Galapagos Islands: implications for the effects of global warming.
		Whitehead, H. The behaviour of mature male sperm whales on the Galapagos breeding grounds.
	whitelab.biology.dal.ca /labpub.htm (2436 words)

	NTU Info Centre: Whitehead theorem (Site not responding. Last check: 2007-10-22)
		In mathematics, the Whitehead theorem in homotopy theory states that if a continuous mapping f between topological spaces X and Y induces isomorphisms on all homotopy groups, then f is a homotopy equivalence provided X and Y are connected CW complexes.
		Whitehead, and provides a justification for working with the CW complex concept that he introduced.
		The Whitehead theorem then states that a weak homotopy equivalence, for connected CW complexes, is an actual homotopy equivalence.
	www.nowtryus.com /article:Whitehead_theorem (172 words)

	Papers (Site not responding. Last check: 2007-10-22)
		Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups, J. Pure Appl.
		Whitehead's asphericity question, in: Two-Dimensional Homotopy and Combinatorial Group Theory, C. Hog-Angeloni, W. Metzler, and A. Sieradski, editors, London Math.
		A group-theoretic reduction of J. Whitehead's asphericity question, in: Groups-Korea '94, A. Kim and D. Johhnson, editors, (de Gruyter, 1995) 15-24 (with M. Dyer).
	oregonstate.edu /~bogleyw/research/papers.html (293 words)

	Atlas: The Automorphism Graph of the Free Group of Rank 2 by Bilal Khan (Site not responding. Last check: 2007-10-22)
		Whitehead introduced a graph whose vertices are the elements of F, where two vertices are connected if and only if the corresponding elements of are related by one of a specially chosen set of generators of Aut(F), which have come to be known as the so-called "Whitehead automorphisms".
		In this paper we consider Whitehead's graph, modulo inner automorphisms and the ``obvious'' automorphisms that are induced by permuting the basis of F-we term this combinatorial object the automorphism graph of the free group.
		We will show that there exist uniform constants C, N, such that for all in u of length at least N, if the subgraph induced by A(u) has more than C vertices then it must be a chain containing at most u-5 vertices.
	atlas-conferences.com /cgi-bin/abstract/caig-82 (347 words)

	Nat' Academies Press, Biographical Memoirs V.61 (1992)
		On an algebraic curve C given by a single affine equation, in the plane, special objects of interest were the abelian integrals where R(x,y) is a rational function.
		Assuming that f is irreducible, in modern terms is a connected, complex manifold of dimension one for which there is a holomorphic mapping whose image is C and where π: → C is generically one to one.
		J. Hale and J. La Salle, The Contribution of Solomon Lefschetz to the Study of Differential Equations, typed manuscript prepared for Hodge in writing the above article.
	www.nap.edu /books/0309047463/html/270.html (3467 words)

	J. H. C. Whitehead -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		John Henry Constantine Whitehead (11 November 1904- 8 May 1960), known as Henry, was a (The people of Great Britain) British (A person skilled in mathematics) mathematician who was one of the founders of (Click link for more info and facts about homotopy theory) homotopy theory.
		He was born in Madras (now known as (A city in Tamil Nadu on the Bay of Bengal; formerly Madras) Chennai) in India and died in (Click link for more info and facts about Princeton, New Jersey) Princeton, New Jersey in 1960.
		The (Click link for more info and facts about Whitehead problem) Whitehead problem on (A group that satisfies the commutative law) abelian groups was solved (as an independence proof) by (Click link for more info and facts about Saharon Shelah) Saharon Shelah.
	www.absoluteastronomy.com /encyclopedia/j/j/j._h._c._whitehead.htm (315 words)

	Abstracts
		In the presence of this hypothesis, which is framed in terms of spherical pictures, one has that H is naturally embedded in G, and that the finite subgroups of G are determined by those of H. Practical criteria for the hypothesis to hold are given.
		This article is concerned with a question posed by Whitehead in1941: ``Is any subcomplex of an aspherical, 2-dimensional complex itself aspherical?'' This question remains unanswered despite considerable expense of effort; a wide variety of results is scattered throughout the literature.
		The present intent is to survey these efforts and to present both a summary of the published results and an overview of the methods that have been used in the study of the problem.
	oregonstate.edu /~bogleyw/research/abstracts.html (1394 words)

	BACKGROUND
		These questions were motivated by complexity issues for Whitehead's algorithm that determines whether or not a given element of a free group of finite rank is an automorphic image of another given element.
		It is known that the first part of this algorithm (reducing a given free word to a free word of minimal possible length by "elementary" Whitehead automorphisms) is pretty fast (of quadratic time with respect to the length of the word).
		In fact, the procedure outlined in the original paper by Whitehead suggested this part of the algorithm to be of superexponential time with respect to the length of the words.
	www.cs.gc.cuny.edu /~cryptlab/gworld/problems/Back.html (5364 words)

	Course Descriptions, Fall 2001 - CUNY Ph.D. Program in Mathematics
		Whitehead reformulated the definition of cat(X) in a useful homotopy-theoretic way and proved that for G a connected topological group, the group [X,G] of pointed homotopy classes of pointed maps from X to G has nilpotency class bounded above by cat(X), if cat(X) is finite.
		He deduced from this a "Jacobi identity" for (J. C.) Whitehead products, thus marking the first appearance of a (graded) Lie algebra structure in algebraic topology.
		The aims of this course are to survey LS theory, discussing the work described above, and to give an introduction to some of the recent hectic activity in the field, including negative examples to Ganea's question (using Hopf invariant technology) and applications to symplectic topology.
	math.gc.cuny.edu /Course_Desc_Fa'01.html (1516 words)

	[No title]
		A gene-based map, showing the location of a large fraction of an organism's genes, is a tremendously powerful tool for genetic studies.
		We report the first comprehensive gene map of the mouse genome, a combined project of the Whitehead Institute/MIT Center for Genome Research, the MRC UK Mouse Genome Centre, and the National Center for Biotechnology Information.
		Finally, 5,340 genes have cross-species synteny to the human genome sequence and provide a crucial scaffold for translating the human genome sequence to the mouse and for sequencing the mouse genome.
	www.broad.mit.edu /personal/hnguyen/mouse_rh/paper/CSHL_Mouse_gene_map_v2.doc (391 words)

	UPENN \|\| Graduate Studies in Pharmalogical Sciences Graduate Group
		McCormack, C.C., Hobson, A.H., Doyle, S., Jackson, J., Kilty, C. and Whitehead, A.S. Generation of soluble recombinant human acute phase serum amyloid A2 (A-SAA2) protein and its use in development of an A-SAA specific ELISA.
		Uhlar, C.M., Grehan, S., Steel, D.M., Steinkasserer, A. and Whitehead, A.S. Use of the acute phase serum amyloid A2 (SAA2) gene promoter in the analysis of pro- and anti-inflammatory mediators: differential kinetics of SAA2 promoter induction by IL-1b and TNFa compared to IL-6.
		Grehan, S., Uhlar, C.M., Sim, R.B., Herbert, J., and Whitehead, A.S. Expression of a biologically active recombinant mouse interleukin-1 receptor antagonist (IL-1ra) and its use in vivo to modulate aspects of the acute phase response.
	www.med.upenn.edu /pharmgg/bios/whitehead.html (556 words)

	Proceedings of the American Mathematical Society (Site not responding. Last check: 2007-10-22)
		H. Hastings, A. Heller Homotopy idempotents on finite-dimensional complexes split, Proc.
		H. Hastings, A. Heller, Splitting homotopy idempotents, Shape Theory and Geom.
		J. Whitehead, Combinatorial homotopy I (and II), Bull.
	80-www.ams.org.library.uor.edu /proc/2001-129-01/S0002-9939-00-05812-3/home.html (306 words)

	Proceedings of the American Mathematical Society (Site not responding. Last check: 2007-10-22)
		J. Singer, Three Dimensional Manifolds and Their Heegaard Diagrams, Trans Amer.
		J. Whitehead, On Certain Sets of Elements in a Free Group, Proc.
		J. Whitehead, On Equivalent Sets of Elements in a Free Group, Ann.
	80-www.ams.org.library.uor.edu /proc/1999-127-10/S0002-9939-99-05142-4/home.html (230 words)

	Science, Technology & Medicine Archives in the DC-MD-VA Area
		There is also an audio collection of tape recordings and 33 and 78 rpm disks; included are first-hand accounts by physicists of scientific life, and tape recordings of most of the oral history interviews.
		T he oral history interviews [b] [c] include notable physicians and scientists selected by Martin Cummings (former Director of NIH), persons involved with health research in the U. (George Rosen collection), the child development movement (Milton J. enn collection), Johns Hopkins University, the Food and Drug Administration (FDA), women in medicine, hospital administration, and homeopathy.
		The photographic holdings, mostly 1860-1960, are estimated at 350,000 images, and include large series relating to the archeological work of the River Basin Surveys and to the survey of male physiques by the U. Army Research Institute of Environmental Medicine during the 1940s.
	carnap.umd.edu:90 /chps/archive.html (9287 words)

	News from Vanderbilt (Site not responding. Last check: 2007-10-22)
		He was especially involved in efforts to understand the “Fish” machine that succeeded “Enigma.” In his talk, Hilton will describe the nature of the code-breaking work that the group did and will reminisce about his experiences, paying particular attention to the character, personality and genius of Alan Turing, the intellectual leader of the group.
		It was at Bletchley Park that Hilton met the prominent mathematician J. Whitehead.
		Hilton subsequently held positions at Cambridge, Manchester and Birmingham before moving to the U.S. Since then he has served on the faculty at Cornell, the University of Washington, Case Western Reserve and Binghamton.
	sitemason.vanderbilt.edu /newspub/bjfTyg?id=14626&mode=print (299 words)

	James (Site not responding. Last check: 2007-10-22)
		His first publication was in 1953, followed by four publications in 1954 which were all written jointly with Henry Whitehead.
		The mathematical works of J H C Whitehead appeared in four volumes in 1962 and 1963 edited by James.
		In the late 1950s Henry Whitehead approached Robert Maxwell, the chairman of Pergamon Press, to start a new journal Topology although Whitehead never lived to see the first part appear.
	www-gap.dcs.st-and.ac.uk /~history/Mathematicians/James.html (737 words)

	Jeffrey Byers
		"Tandem Radical-Electrophilic Annulations to Pyrrole" Byers, J. H.; DeWitt, A.; Nasveschuk, C. G.; Swigor, J. Tetrahedron Lett.
		Book Review by Byers, J. H.: "General Aspects of Free Radical Chemistry", Z. Alfassi, ed.
		"A Free-Radical Addition-Fragmentation Reaction for the preparation of Vinyl Sulfones and Phosphine Oxides"; Keck, G. E.; Byers, J. H.; Tafesh, A. Org.
	community.middlebury.edu /~byers/publications.html (432 words)

	References for Cartan (Site not responding. Last check: 2007-10-22)
		J H C Whitehead, Elie Cartan, Obituary Notices of Fellows of the Royal Society of London 8 (1952).
		J Dieudonné, Les travaux de Elie Cartan sur les groupes et algèbres de Lie, Elie Cartan, 1869-1951 (hommage de l'Acad.
		S-S Chern and C Chevalley, Obituary: Elie Cartan and his mathematical work, Bull.
	www-history.mcs.st-and.ac.uk /References/Cartan.html (163 words)

	Atlas: The Automorphism Graph of F_2 and Whitehead's Algorithm by Bilal Khan (Site not responding. Last check: 2007-10-22)
		Atlas: The Automorphism Graph of F_2 and Whitehead's Algorithm by Bilal Khan
		In this paper we consider Whitehead's graph, modulo inner automorphisms and the ``obvious'' automorphisms that are induced by permuting the basis of F--we term this combinatorial object the automorphism graph of the free group.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caja-04.
	atlas-conferences.com /cgi-bin/abstract/caja-04 (333 words)

	McRAE'S BATTALION, NORTH CAROLINA CAVALRY, CSA
		Captain James C. McRae was assigned to command the battalion, and was promot- ed to Major.
		Companies C and E completed the only known muster rolls for this battalion on December 5, before leaving Camp Vance.
		Crow, Vernon H. Storm in the Mountains, Thomas' Confederate Legion of Cherokee Indians and Mountaineers, Press of the Museum of the Cherokee Indian, Cherokee, North Carolina, 1982.
	members.aol.com /jweaver301/nc/mcrae.htm (7497 words)

	[No title]
		F (y(ff)j0 j n - 1; ff 2 J) where p is the projection and ((ff) djy(ff)k= yk-1 j k, y(ff)kj > k + 1.
		For n = 0, B1 = 2(F (y(ff)0ff 2 J)) and F (y(ff)0ff 2 J)=B1 ~=ff2JZss2(_ff2JS2): The assertion holds for all of n.
		Proof: It suffices to show that the subsimplicial group, denote by H, of G generated by G1 is G itself.
	hopf.math.purdue.edu /WuJ/Simplicial-group-1.txt (5055 words)

	NORMAN STEENROD
		But in the 1950's and 1960's, many interesting examples of "extraordinary theories" that satisfy all the axioms except the dimension axiom were developed.
		These include the stable homotopy and cohomotopy theories of Spanier and G. Whitehead; the K-theories of Atiyah and Hirzebruch; and the bordism theories of Conner and Floyd.
		The additional structure made cohomology a finer invariant, and allowed Steenrod and J. Whitehead to obtain new results on the problem of counting the number of linearly independent vector fields on a sphere.
	www.usna.edu /Users/math/meh/steenrod.html (704 words)

	Samuel Eilenberg, September 30, 1913—January 30, 1998 \| By Hyman Bass, Henri Cartan, Peter Freyd, Alex Heller, and ...
		Sammy was prominent among a small group of mathematicians--among them, for example, J. Whitehead, Hassler Whitney, Saunders Mac Lane, and Norman Steenrod--who dedicated themselves to building a more adequate armamentarium.
		Their success in doing this was attested to by the fact that by the end of the 1960s most of those problems had been solved (inordinately many of them by J. Adams).
		With Zilber, J. A., Semi-simplicial complexes and singular homology, Ann.
	stills.nap.edu /html/biomems/seilenberg.html (6599 words)

	Encyclopedia: J. H. C. Whitehead (Site not responding. Last check: 2007-10-22)
		Click for other authoritative sources for this topic (summarised at Factbites.com).
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	www.nationmaster.com /encyclopedia/J.-H.-C.-Whitehead (233 words)

	Table of contents for Library of Congress control number 94176225 (Site not responding. Last check: 2007-10-22)
		Geometric aspects of two-dimensional complexes C. Hog-Angeloni and W. Metzler 2.
		(Singular) 3-manifolds C. Hog-Angeloni and A. Sieradski 9.
		The Andrews-Curtis conjecture and its generalizations C. Hog-Angeloni and W. Metzler.
	www.loc.gov /catdir/toc/cam027/94176225.html (167 words)

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